On the localization genus of a direct product of metacyclic groups

DOI10.1515/JGT.2009.017zbMath1230.20035MaRDI QIDQ3401157

Peter J. Witbooi

Publication date: 29 January 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

direct productsmetacyclic groupslocalizationsMislin genera

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Extensions, wreath products, and other compositions of groups (20E22)

Cites Work

• The minimal relation modules of a finite Abelian group
• On the genus of a nilpotent group with finite commutator subgroup.
• Non-cancellation and Mislin genus of certain groups and \(H_0\)-spaces
• A discrete homotopy theory for binary reflexive structures
• The non-cancellation group of a direct power of a (finite cyclic)-by-cyclic group.
• Calculating the mislin genus for a certain family of nilpotent groups
• Non-cancellation for groups with non-abelian torsion
• Genus and cancellation
• The genus and localization of finitely generated (torsion-free abelian)-by-finite groups
• Generalizing the Hilton-Mislin genus group

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